Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4606811 | Journal of Approximation Theory | 2016 | 16 Pages |
Abstract
In this paper we establish a version of the Paley–Wiener theorem of Fourier analysis in the frame of Mellin transforms. We provide two different proofs, one involving complex analysis arguments, namely the Riemann surface of the logarithm and Cauchy theorems, and the other one employing a Bernstein inequality here derived for Mellin derivatives.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Carlo Bardaro, Paul L. Butzer, Ilaria Mantellini, Gerhard Schmeisser,